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Finding the Fourth Proportional to 18,257.25, 27,388.56 and 5,774.44

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Solution

The fourth proportional to 18,257.25, 27,388.56 and 5,774.44 is: 8,662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,257.25 : 27,388.56 = 5,774.44 : x
  2. Step 2: Convert to fraction form
    18,257.25/27,388.56 = 5,774.44/x
  3. Step 3: Cross multiply
    18,257.25x = 27,388.56 × 5,774.44
  4. Step 4: Simplify right side
    18,257.25x = 158,153,596.41
  5. Step 5: Solve for x
    x = 158,153,596.41/18,257.25
  6. Step 6: Final answer
    x = 8,662.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.